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Atlas › Integer Profiles › Node 38,788,860

38,788,860

22 × 3 × 5 × 11 × 58771
Abundant Even Composite

38,788,860 factors as 2^2 × 3 × 5 × 11 × 58771. Its 48 positive divisors give a proper-divisor sum of 79,695,492, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 58771
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 118,484,352
Proper Divisor Sum 79,695,492
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #38788859 ← → #38788877

Radix Representation

Decimal 38788860
Binary 10010011111101111011111100 (26 bits)
Octal 0o223757374
Hexadecimal 0x24FDEFC

Divisor Catalog (48)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 58,771 117,542 176,313 235,084 293,855 352,626 587,710 646,481 705,252 881,565 1,175,420 1,292,962 1,763,130 1,939,443 2,585,924 3,232,405 3,526,260 3,878,886 6,464,810 7,757,772 9,697,215 12,929,620 19,394,430 38,788,860

Collatz Trajectory (178 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

38,788,860 19,394,430 9,697,215 29,091,646 14,545,823 43,637,470 21,818,735 65,456,206 32,728,103 98,184,310 49,092,155 147,276,466 73,638,233 220,914,700 110,457,350 55,228,675 165,686,026 82,843,013 248,529,040 124,264,520 62,132,260 31,066,130 15,533,065 46,599,196 23,299,598 11,649,799 34,949,398 17,474,699 52,424,098 26,212,049 78,636,148 39,318,074 19,659,037 58,977,112 29,488,556 14,744,278 7,372,139 22,116,418 11,058,209 33,174,628 16,587,314 8,293,657 24,880,972 12,440,486 6,220,243 18,660,730 9,330,365 27,991,096 13,995,548 6,997,774 3,498,887 10,496,662 5,248,331 15,744,994 7,872,497 23,617,492 11,808,746 5,904,373 17,713,120 8,856,560

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